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Simplifying 15w + 19w + -5 + 2 = -3w + 2 + -5 Reorder the terms: -5 + 2 + 15w + 19w = -3w + 2 + -5 Combine like terms: -5 + 2 = -3 -3 + 15w + 19w = -3w + 2 + -5 Combine like terms: 15w + 19w = 34w -3 + 34w = -3w + 2 + -5 Reorder the terms: -3 + 34w = 2 + -5 + -3w Combine like terms: 2 + -5 = -3 -3 + 34w = -3 + -3w Add '3' to each side of the equation. -3 + 3 + 34w = -3 + 3 + -3w Combine like terms: -3 + 3 = 0 0 + 34w = -3 + 3 + -3w 34w = -3 + 3 + -3w Combine like terms: -3 + 3 = 0 34w = 0 + -3w 34w = -3w Solving 34w = -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 34w + 3w = -3w + 3w Combine like terms: 34w + 3w = 37w 37w = -3w + 3w Combine like terms: -3w + 3w = 0 37w = 0 Divide each side by '37'. w = 0 Simplifying w = 0
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